Summary: Phase Synchronization of Chaotic Intermittent Oscillations
Mikhail V. Ivanchenko,1
Grigory V. Osipov,1,2
Vladimir D. Shalf-eev,1
and Ju¨rgen Kurths2
1
Department of Radiophysics, Nizhny Novgorod University, 23 Gagarin Avenue, 603600 Nizhny Novgorod, Russia
2
Institute of Physics, University Potsdam, 10 Am Neuen Palais, D-14415 Potsdam, Germany
(Received 9 October 2003; published 2 April 2004)
We study phase synchronization effects of chaotic oscillators with a type-I intermittency behavior.
The external and mutual locking of the average length of the laminar stage for coupled discrete and
continuous in time systems is shown and the mechanism of this synchronization is explained. We
demonstrate that this phenomenon can be described by using results of the parametric resonance theory
and that this correspondence enables one to predict and derive all zones of synchronization.
DOI: 10.1103/PhysRevLett.92.134101 PACS numbers: 05.45.Xt
Synchronization of chaotic oscillations is a fundamen-
tal phenomenon observed in nature and science. Three
main types of chaotic synchronization have been recently
studied, namely, complete (or full) synchronization [1],